Abstract
We derive compact multiple integral formulae for several physical spin correlation functions in thesemi-infinite XXZ chain with a longitudinal boundary magnetic field. Our formulae follow from severaleffective resummations of the multiple integral representation for the elementary blocksobtained in our previous paper (I). In the free fermion point we compute the localmagnetization as well as the density of energy profiles. These quantities, in addition totheir bulk behavior, exhibit Friedel-type oscillations induced by the boundary; theiramplitudes depend on the boundary magnetic field and decay algebraically in terms of thedistance to the boundary.
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More From: Journal of Statistical Mechanics: Theory and Experiment
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